What is the 1732nd prime number?
The 1732nd prime number is 14779. The next prime is 14783 (a gap of 4) and the one before is 14771.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1732nd one is 14779.
- 2
14779 is prime because no prime up to ā14779 ā 121.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1732nd prime is close to 1732 Ć ln(1732) ā 12916, and here it is 14779.
- 4
14779 has no twin: neither 14777 nor 14781 is prime.
Primes around the 1732nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1729 | 14759 | 6 |
| 1730 | 14767 | 8 |
| 1731 | 14771 | 4 |
| 1732 | 14779 | 8 |
| 1733 | 14783 | 4 |
| 1734 | 14797 | 14 |
| 1735 | 14813 | 16 |
Questions
What is the 1732nd prime number?
14779.
Which prime number is 14779?
14779 is the 1732nd prime number.
What is the sum of the first 1732 primes?
11,968,515.